{"id":138670,"date":"2024-09-16T06:17:42","date_gmt":"2024-09-16T06:17:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=138670"},"modified":"2024-09-16T06:17:44","modified_gmt":"2024-09-16T06:17:44","slug":"a-bucket-containing-2-4-5-gallons-of-water-is-1-3-full","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/16\/a-bucket-containing-2-4-5-gallons-of-water-is-1-3-full\/","title":{"rendered":"A bucket containing 2 4\/5 gallons of water is 1\/3 full"},"content":{"rendered":"\n<p>A bucket containing 2 4\/5 gallons of water is 1\/3 full. How many gallons of water is in one fully filled bucket?<\/p>\n\n\n\n<p>A.<br>14\/15<\/p>\n\n\n\n<p>B.<br>2 7\/15<\/p>\n\n\n\n<p>C.<br>8 2\/5<\/p>\n\n\n\n<p>D.<br>6 4\/5<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s start by finding out how many gallons of water the bucket holds when it&#8217;s fully filled.<\/p>\n\n\n\n<p>We are given that the bucket contains <strong>2 4\/5 gallons<\/strong> of water when it is <strong>1\/3 full<\/strong>. To find how many gallons the bucket can hold when completely full, we need to multiply the amount of water by 3 (since 1\/3 of the bucket is already 2 4\/5 gallons, and we want the full capacity).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the mixed number to an improper fraction<\/h3>\n\n\n\n<p>First, convert <strong>2 4\/5<\/strong> to an improper fraction:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 2 \\frac{4}{5} = \\frac{2 \\times 5 + 4}{5} = \\frac{10 + 4}{5} = \\frac{14}{5} ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply by 3<\/h3>\n\n\n\n<p>Now, multiply by 3 to find the total capacity of the bucket:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{14}{5} \\times 3 = \\frac{14 \\times 3}{5} = \\frac{42}{5} ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert back to a mixed number<\/h3>\n\n\n\n<p>Next, convert ( \\frac{42}{5} ) to a mixed number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 42 \\div 5 = 8 ) with a remainder of 2.<\/li>\n\n\n\n<li>So, ( \\frac{42}{5} = 8 \\frac{2}{5} ).<\/li>\n<\/ul>\n\n\n\n<p>Thus, the full capacity of the bucket is <strong>8 2\/5 gallons<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>The correct answer is <strong>C. 8 2\/5<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>We know that 1\/3 of the bucket holds 2 4\/5 gallons of water. To find out the full capacity, we multiply the amount by 3. First, converting 2 4\/5 to an improper fraction and then multiplying by 3 gives us the full capacity of the bucket in gallons. Converting the result back to a mixed number provides the final answer, which is <strong>8 2\/5 gallons<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A bucket containing 2 4\/5 gallons of water is 1\/3 full. How many gallons of water is in one fully filled bucket? A.14\/15 B.2 7\/15 C.8 2\/5 D.6 4\/5 The correct answer and Explanation is : Let&#8217;s start by finding out how many gallons of water the bucket holds when it&#8217;s fully filled. We are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-138670","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138670","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=138670"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138670\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=138670"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=138670"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=138670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}